Theoretical Study On Steady State Preparation Of Cavity QED Systemt

Quantum information is the combination of quantum mechanics and informatics and cross discipline.In recent years,the development and achievements of quantum informations are leading the global scientific and technological revolution.The basic research of quantum information is divided into quantum computation,quantum manipulation and quantum simulation,and the Quantum simulation is to simulate the quantum information process by using the artificial model and applying the theory of quantum information,quantum mechanics and quantum optics,so as to provide an effective model for the realization of quantum information process.On the other hand,in the study of strongly correlated multi-body systems,it is difficult to obtain the microscopic properties in the experiments,so people choose to use artificial models to study,such as Josephson junction and optical lattice,which are often used.However,due to the limitation of small lattice distance and short coherence time,many microscopic quantum phenomena cannot be observed.therefore,coupled cavity system has become an effective platform for quantum simulation of multi-body phenomena.Cavity quantum electrodynamics(cavity QED)system has good quantum coherence and can ensure the transmission process of quantum information.It can be used as an effective phenomenon quantum simulation platform.At the same time,the coupled cavity system is an effective platform for quantum simulation of multi-body phenomena.In this paper,the quantum information process is simulated by using cavity QED system.Next,I will introduce the composition of this paper.The first chapter of the paper introduces the development of quantum information and the hot issues in the field of quantum information,at the same time,we summarized some of quantum optics.At the same time,we also summarizes some applications in quantum simulation on the basis of quantum optics theory,according to the research content of this article,cavity QED system are introduced in detail;Chapter two lists some relevant methods and theories studied in this paper,including adiabatic culling method,Bose-Hubbard model and quantum entanglement.The third chapter detailed statement I made during the period of the graduate student work and the main research results.In this paper,based on the effective Bose-Hubbard Hamiltonian of photons obtained by adiabatic culling under large detuning conditions,we study the effect of the pump field on the nonlinearity of the system and analyze the steady state preparation process in the presence of leakage of the cavity.At the same time,the non-local characteristics between the two cavities are studied and the ground state entanglement is calculated.The fourth chapter we summarized the results.The results of quantum manipulation are shown by changing the Rabi frequency of the classical field in the system under effective Hamiltonian action,When the initial state of the system is vacuum state,the system experiences the preparation process from vacuum state to steady state in the process of Rabi frequency increasing from small to large.At the same time,the role of Rabi frequency and potential in steady state output is also analyzed.meanwhile,the results also show that the leakage rate of cavity field is an unfavorable factor affecting steady-state output when phenomenology is added to the system dissipation,When calculating the ground state entanglement entropy between two cavities,we found and obtained the parameter of maximum entropy and the change of entanglement entropy,which also provides an effective simulation platform for the quantum information process.